Question

1) Write the polynomial in standard form, then classify it by degree and number of terms.

x^2 + 3x - 4x^3

PLEASE SHOW WORK


2) Write the polynomial in standard form, then classify it by degree and by number of terms.
6 - 2x^3 - 4

PLEASE SHOW WORK

Answer 1

Polynomial standard form: each term is displayed from left to right, with decreasing degree per term.

In the case of 1). Standard form would look like this:

-4x^3 + x^2 + 3x

This is a third degree trinomial, as it has three terms, and it's largest term is of third degree.

2) In standard form: -2x^3 + 2

This is a third degree binomial, as it's highest degree is three, and it has two terms.

Answer 2

1. -4x^3 +x^2 + 3x

This is degree 3 ( exponent ) so it is a cubic function

number of terms is 3 so it is a trinomial

2.-2x^3 +2

This is degree 3 ( exponent ) so it is a cubic function

number of terms is 2 so it is a binomial

Explanation:

1.

x^2 + 3x - 4x^3

We need to put the exponents in order from largest to smallest

-4x^3 +

x^2 + 3x

This is degree 3 ( exponent ) so it is a cubic function

number of terms is 3 so it is a trinomial

2)

6 - 2x^3 - 4

Combine like terms

-2x^3 +2

They are in order from largest to smallest in terms of exponents so it is in standard form.

This is degree 3 ( exponent ) so it is a cubic function

number of terms is 2 so it is a binomial